Pythagorean Theorem Test w/ Angles

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

Identify the hypotenuse in a right triangle with sides 6, 8, and 10.

Back

The hypotenuse is 10, as it is the longest side of the right triangle.

Tags

CCSS.HSG.CO.C.10

Front

What are the conditions for a triangle to be classified as a right triangle?

Back

A triangle is classified as a right triangle if one of its angles measures 90 degrees.

Tags

CCSS.4.G.A.2

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, it is a right triangle because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

Front

What is the formula to find the distance between two points in a coordinate plane?

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

In a right triangle, if one leg is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 5, calculated using the Pythagorean Theorem: 3² + 4² = 5² (9 + 16 = 25).

Tags

CCSS.8.G.B.7

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

How can you determine if a set of three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle and is opposite the right angle.

Front

If a right triangle has a hypotenuse of 10 and one leg of 6, what is the length of the other leg?

Back

The length of the other leg is 8, calculated using the Pythagorean Theorem: 10² - 6² = 8² (100 - 36 = 64).

Tags

CCSS.8.G.B.7